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Mathematical Reasoning — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsMathematical Reasoning1 Mark
MCQ
Which statement is logically equivalent to "If Yoda cannot use a lightsaber then he cannot help Luke win the battle":
  • A
    Yoda cannot use a lightsaber and he will help Luke win the battle.
  • ✓
    If Yoda can help Luke win the battle then he can use a lightsaber.
  • C
    Yoda can use a lightsaber if and only if he can help Luke win the battle.
  • D
    Yoda cannot use a lightsaber and will not help Luke win the battle.
✓

Answer

Correct option: B.
If Yoda can help Luke win the battle then he can use a lightsaber.
A statement is logically equivalent to its contrapositive To form the contrapositive switch the "If" and "then" sections of the statement $\text{AND}$ insert $\text{"NOTs"}$ into each section Notice in this situation that inserting $\text{"NOTs"}$ turns the thoughts positive $($you are negating negative thoughts$).$

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